Algebra Seminar

ABSTRACT: S. Mochizuki has recently claimed to have prove the ABC Conjecture. This is a very strong conjecture, with numerous consequences in number theory. If correct, it would be the most important result in mathematics since the proof of the Poincaré Conjecture. In this series of talks we will motivate, state, give equivalent statements, prove/discuss consequences and study related problems to the ABC Conjecture. (We will not give Mochizuki's "proof", which is extremely technical and advanced.) At the very least, the first few talks should be accessible to all, including graduate students of other areas.